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Finding the Fourth Proportional to 204,469.34, 306,680.54 and 54,721.29

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Solution

The fourth proportional to 204,469.34, 306,680.54 and 54,721.29 is: 82,075.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,469.34 : 306,680.54 = 54,721.29 : x
  2. Step 2: Convert to fraction form
    204,469.34/306,680.54 = 54,721.29/x
  3. Step 3: Cross multiply
    204,469.34x = 306,680.54 × 54,721.29
  4. Step 4: Simplify right side
    204,469.34x = 16,781,954,493.09
  5. Step 5: Solve for x
    x = 16,781,954,493.09/204,469.34
  6. Step 6: Final answer
    x = 82,075.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.